3024=(x-6)(x-26)*6

Solution for 3024=(x-6)(x-26)*6 equation:

Simplifying
3024 = (x + -6)(x + -26) * 6

Reorder the terms:
3024 = (-6 + x)(x + -26) * 6

Reorder the terms:
3024 = (-6 + x)(-26 + x) * 6

Reorder the terms for easier multiplication:
3024 = 6(-6 + x)(-26 + x)

Multiply (-6 + x) * (-26 + x)
3024 = 6(-6(-26 + x) + x(-26 + x))
3024 = 6((-26 * -6 + x * -6) + x(-26 + x))
3024 = 6((156 + -6x) + x(-26 + x))
3024 = 6(156 + -6x + (-26 * x + x * x))
3024 = 6(156 + -6x + (-26x + x2))

Combine like terms: -6x + -26x = -32x
3024 = 6(156 + -32x + x2)
3024 = (156 * 6 + -32x * 6 + x2 * 6)
3024 = (936 + -192x + 6x2)

Solving
3024 = 936 + -192x + 6x2

Solving for variable 'x'.

Combine like terms: 3024 + -936 = 2088
2088 + 192x + -6x2 = 936 + -192x + 6x2 + -936 + 192x + -6x2

Reorder the terms:
2088 + 192x + -6x2 = 936 + -936 + -192x + 192x + 6x2 + -6x2

Combine like terms: 936 + -936 = 0
2088 + 192x + -6x2 = 0 + -192x + 192x + 6x2 + -6x2
2088 + 192x + -6x2 = -192x + 192x + 6x2 + -6x2

Combine like terms: -192x + 192x = 0
2088 + 192x + -6x2 = 0 + 6x2 + -6x2
2088 + 192x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
2088 + 192x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(348 + 32x + -1x2) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(348 + 32x + -1x2)' equal to zero and attempt to solve:

Simplifying
348 + 32x + -1x2 = 0

Solving
348 + 32x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-348 + -32x + x2 = 0

Move the constant term to the right:

Add '348' to each side of the equation.
-348 + -32x + 348 + x2 = 0 + 348

Reorder the terms:
-348 + 348 + -32x + x2 = 0 + 348

Combine like terms: -348 + 348 = 0
0 + -32x + x2 = 0 + 348
-32x + x2 = 0 + 348

Combine like terms: 0 + 348 = 348
-32x + x2 = 348

The x term is -32x.  Take half its coefficient (-16).
Square it (256) and add it to both sides.

Add '256' to each side of the equation.
-32x + 256 + x2 = 348 + 256

Reorder the terms:
256 + -32x + x2 = 348 + 256

Combine like terms: 348 + 256 = 604
256 + -32x + x2 = 604

Factor a perfect square on the left side:
(x + -16)(x + -16) = 604

Calculate the square root of the right side: 24.576411455

Break this problem into two subproblems by setting 
(x + -16) equal to 24.576411455 and -24.576411455.

Subproblem 1
x + -16 = 24.576411455

Simplifying
x + -16 = 24.576411455

Reorder the terms:
-16 + x = 24.576411455

Solving
-16 + x = 24.576411455

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '16' to each side of the equation.
-16 + 16 + x = 24.576411455 + 16

Combine like terms: -16 + 16 = 0
0 + x = 24.576411455 + 16
x = 24.576411455 + 16

Combine like terms: 24.576411455 + 16 = 40.576411455
x = 40.576411455

Simplifying
x = 40.576411455

Subproblem 2
x + -16 = -24.576411455

Simplifying
x + -16 = -24.576411455

Reorder the terms:
-16 + x = -24.576411455

Solving
-16 + x = -24.576411455

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '16' to each side of the equation.
-16 + 16 + x = -24.576411455 + 16

Combine like terms: -16 + 16 = 0
0 + x = -24.576411455 + 16
x = -24.576411455 + 16

Combine like terms: -24.576411455 + 16 = -8.576411455
x = -8.576411455

Simplifying
x = -8.576411455

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {40.576411455, -8.576411455}
Solution
x = {40.576411455, -8.576411455}